Question

10 × 5^n+1 ×25 ×5^n/2 × 5^n+2 ×100 × 5^n+1

Answer 1

Taking the numerators first,

10x5^(n+1) + 25x5^(n)

= 10x(5^n)*5 + 25x5^n

= 25(5^n) {2+1}

= 75(5^n)

Now denominator,

3x5^(n+2) + 10x5^(n+1)

= 3x(5^n)*(5^2) + 10x(5^n)*5

= 25(5^n) {3+2}

Numerator / Denominator

Gives ans as 3/5.

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